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Finding the Fourth Proportional to 408,032.70, 612,049.05 and 289,059.90

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Solution

The fourth proportional to 408,032.70, 612,049.05 and 289,059.90 is: 433,589.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,032.70 : 612,049.05 = 289,059.90 : x
  2. Step 2: Convert to fraction form
    408,032.70/612,049.05 = 289,059.90/x
  3. Step 3: Cross multiply
    408,032.70x = 612,049.05 × 289,059.90
  4. Step 4: Simplify right side
    408,032.70x = 176,918,837,188.10
  5. Step 5: Solve for x
    x = 176,918,837,188.10/408,032.70
  6. Step 6: Final answer
    x = 433,589.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.